Some Inequalities of Simpson Type for h-Convex Functions via Fractional Integrals
Abstract and Applied Analysis, 2015 We establish some inequalities of Simpson type involving Riemann-Liouville fractional integrals for mappings whose first derivatives are h-convex.
Marian Matłoka
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Stationarity-conservation laws for certain linear fractional differential equations
, 2001 The Leibniz rule for fractional Riemann-Liouville derivative is studied in algebra of functions defined by Laplace convolution. This algebra and the derived Leibniz rule are used in construction of explicit form of stationary-conserved currents for ...
Douglas J F +16 more
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Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
Open Mathematics, 2020 The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng +2 more
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General (k, p)-Riemann-Liouville fractional integrals
FilomatThe main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p which is determined over the (k, p)-gamma function. In particular, we present the harmonic, geometric and arithmetic (k, p)-Riemann-Liouville frac-tional integrals.
Budak, HÜSEYİN, Benaissa, Bouharket
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Some new generalizations for m-convexity via new conformable fractional integral operators [PDF]
Mathematica Moravica, 2019 In this paper, some new generalizations for m-convex functions have been given by using an integral identity via new conformable fractional integrals and some further properties.
Ocak Akdemir Ahmet +2 more
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Inequalities generated with Riemann-Liouville fractional integral operator
, 2019 Selected papers of International Conference on Life and Engineering Sciences (ICOLES 2018), Kyrenia, Cyprus, 2-6 September, 2018. The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson’s type inequalities with the help of Riemann-Liouville fractional integral operator.
Gurbuz, M., Ozturk, O.
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Intuitionistic Fuzzy Riemann-Liouville and Hadamard Fractional ⊗Integrals
Earthline Journal of Mathematical SciencesIn this study, we introduce intuitionistic fuzzy Riemann-Liouville and Hadamard fractional ⊗integrals of intuitionistic fuzzy valued functions and obtain some of their basic properties. We also give some examples to illustrate the obtained results.
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Calculus of Variations with Classical and Fractional Derivatives [PDF]
, 2012 We give a proper fractional extension of the classical calculus of variations. Necessary optimality conditions of Euler-Lagrange type for variational problems containing both classical and fractional derivatives are proved. The fundamental problem of the
Odzijewicz, Tatiana +1 more
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Newton-type Inequalities for Fractional Integrals by Various Function Classes
Universal Journal of Mathematics and ApplicationsThe authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals.
Hüseyin Budak +2 more
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Some inequalities via \(\psi\)-Riemann-Liouville fractional integrals
AIMS Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naila Mehreen, Matloob Anwar
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